Deconfinement in the presence of a Fermi surface

Abstract

U(1) gauge theory of non-relativistic fermions interacting via compact U(1) gauge fields in the presence of a Fermi surface appears as an effective field theory in low dimensional quantum antiferromagnetism and heavy fermion liquids. We investigate deconfinement of fermions near the Fermi surface in the effective U(1) gauge theory. Our present analysis benchmarks the recent investigation of quantum electrodynamics in two space and one time dimensions ($QE{D}_3$) by Hermele et al. [Phys. Rev. B {\bf 70}, 214437 (2004)]. Utilizing a renormalization group analysis, we show that the effective U(1) gauge theory with a Fermi surface has a stable charged fixed point. Remarkably, the renormalization group equation for an internal charge $e$ (the coupling strength between non-relativistic fermions and U(1) gauge fields) reveals that the conductivity $\sigma$ of fermions near the Fermi surface plays the same role as the flavor number $N$ of massless Dirac fermions in $QE{D}_3$. This leads us to the conclusion that if the conductivity of fermions is sufficiently large, instanton excitations of U(1) gauge fields can be suppressed owing to critical fluctuations of the non-relativistic fermions at the charged fixed point. As a result a critical field theory of non-relativistic fermions interacting via noncompact U(1) gauge fields is obtained at the charged fixed point.

References in corpus (27)

• "Deconfined" quantum critical points
• Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
• How do Fermi liquids get heavy and die?
• Weak magnetism and non-Fermi liquids near heavy-fermion critical points
• Fractionalized Fermi liquids
• Variational study of triangular lattice spin-1/2 model with ring exchanges and spin liquid state in κ-(ET)_2 Cu_2 (CN)_3
• U(1) Gauge Theory of the Hubbard Model : Spin Liquid States and Possible Application to k-(BEDT-TTF)_2 Cu_2 (CN)_3
• On the stability of U(1) spin liquids in two dimensions
• Topological Disorder Operators in Three-Dimensional Conformal Field Theory
• Slave-rotor mean field theories of strongly correlated systems and the Mott transition in finite dimensions
• Large N expansion for frustrated and doped quantum antiferromagnets
• Deconfinement transition in three-dimensional compact U(1) gauge theories coupled to matter fields
• Large-N solutions of the Heisenberg and Hubbard-Heisenberg models on the anisotropic triangular lattice: application to Cs${}_2$CuCl${}_4$ and to the layered organic superconductors $\kappa$-(BEDT-TTF)${}_2$X
• Criticality in quantum triangular antiferromagnets via fermionized vortices
• Ordering in Cs2CuCl4: Is there a proximate spin liquid?
• Fractionalization and Fermi surface volume in heavy fermion compounds: the case of YbRh${}_2$ Si${}_2$
• Absence of U(1) spin liquids in two dimensions
• Vortices, tunneling and deconfinement in bilayer excitonic quantum Hall superfluid
• Kosterlitz-Thouless-like deconfinement mechanism in the 2+1 dimensional Abelian Higgs model
• Quantum electrodynamics in 2+1 dimensions, confinement, and the stability of U(1) spin liquids
• Néel-Dimer Transition in Antiferromagnetic Heisenberg Model and Deconfinement of Spinons at the Critical Point
• Deconfinement Phase Transition in a 3D Nonlocal U(1) Lattice Gauge Theory
• Deconfined quantum criticality of the O(3) nonlinear $\sigma$ model in two spacial dimensions: A renormalization group study
• Role of non-magnetic disorder on the stability of U(1) spin liquid : A renormalization group study
• Effect of nonmagnetic disorder on criticality in the "dirty" U(1) spin liquid
• Deconfined quantum criticality in the two dimensional Kondo lattice model
• Critical field theory of the Kondo lattice model in two dimensions

Cited by in corpus (17)

• Stability of the U(1) spin liquid with spinon Fermi surface in 2+1 dimensions
• Thermal Hall effects in quantum magnets
• SU(2) gauge theory of the Hubbard model: Emergence of an anomalous metallic phase near the Mott critical point
• Alternative Kondo breakdown mechanism: Orbital-selective orthogonal metal transition
• How to control pairing fluctuations: SU(2) slave-rotor gauge theory of the Hubbard model
• Role of disorder in the Mott-Hubbard transition
• Hydrodynamics of quantum spin liquids
• Antiferromagnetic metal to heavy-fermion metal quantum phase transition in the Kondo lattice model: A strong coupling approach
• Dynamical slave-boson mean-field study of the Mott transition in the Hubbard model in the large-$z$ limit
• Spin-gapped incoherent metal with preformed pairing in the doped antiferromagnetic Mott insulator
• Bandwidth-control vs. doping-control Mott transition in the Hubbard model
• Vertex correction and Ward identity in the U(1) gauge theory with Fermi surface
• Extended dual description of Mott transition beyond two-dimensional space
• Many-flavor electron gas approach to electron-hole drops
• A phenomenological description on an incoherent Fermi liquid near optimal doping in high T_{c} cuprates
• Superconductivity from a non-Fermi liquid metal : Kondo fluctuation mechanism in the slave-fermion theory
• Diffusion Monte Carlo study of a valley degenerate electron gas and application to quantum dots